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An existence result for elliptic partial differential-algebraic equations arising in semiconductor modeling |
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| Authors: | Giuseppe Alì Nella Rotundo |
| Institution: | a Department of Mathematics, University of Calabria, Via Pietro Bucci, I-87036, Arcavacata di Rende, Rende, Cosenza, Italy b Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy |
| Abstract: | We consider a system of partial differential-algebraic equations which model an electric network containing semiconductor devices. The zero-dimensional differential-algebraic network equations are coupled with multi-dimensional elliptic partial differential equations which model the devices. For this coupled system we prove an existence result. |
| Keywords: | Semiconductors Coupled models Network equations Drift-diffusion equations Existence of solutions |
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